GCD of 178, 909, 54, 950 Calculator

Given Input numbers are 178, 909, 54, 950

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Greatest Common Divisior

We found the divisors of 178, 909, 54, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 909, 54, 950 is 1.

Therefore, GCD of numbers 178, 909, 54, 950 is 1

Given Input Data is 178, 909, 54, 950

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 178 is 2 x 89

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 950 is 2 x 5 x 5 x 19

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(178, 909) = 161802

GCD(178, 909) = ( 178 x 909 ) / 161802

GCD(178, 909) = 161802 / 161802

GCD(178, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 950

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1

GCD of 178, 909, 54, 950 is 1

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1. What is the GCD of 178, 909, 54, 950?

GCD of 178, 909, 54, 950 is 1

2. Where do I get the detailed procedure to find GCD of 178, 909, 54, 950?

You can find a detailed procedure to find GCD of 178, 909, 54, 950 on our page.

3. How to find GCD of 178, 909, 54, 950 on a calculator?

You can find the GCD of 178, 909, 54, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.